Bifurcating self-excited vibrations of a horizontally rotating viscoelastic shaft

DOI10.1007/BF00534548zbMath0626.73045OpenAlexW80741751MaRDI QIDQ3030326

Włodzimierz Kurnik

Publication date: 1987

Published in: Ingenieur-Archiv (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00534548

zbMATH Keywords

Hopf bifurcationGalerkin's methodinternal frictionBifurcating periodic solutionOrdinary differential equations of motionrotating geometrically nonlinear shaftSelf- excited postcritical vibrationsviscoelastic Kelvin-Voigt materialviscous external damping

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Vibrations in dynamical problems in solid mechanics (74H45) Stability of dynamical problems in solid mechanics (74H55)

Related Items

Dynamic stability and bifurcation of a nonlinear in-extensional rotating shaft with internal damping ⋮ Free vibrations analysis of a rotating shaft with nonlinearities in curvature and inertia

Cites Work

• The Vibration of Rotating Shafts
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